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GATE Question of The Day - Digital Electronics

The Boolean function realized by the logic circuit shown is?



(A)        F= Σm(0,1,3,5,9,10,14)                          (B)        F= Σm(2,3,5,7,8,12,13)
(C)        F= Σm(1,2,4,5,11,14,15)                        (D)        F= Σm(2,3,5,7,8,9,12)

Its a simple challenge to all the aspirants.!


6 comments:

Vamshi said...

option D.... is the correct answer for the above question...

Renuka said...

for solving this type of problems there is one formula i.e,
f(a,b,c,d)=s1's2'I0+s1s0'I1+s1's0I2+s1s0I3
here s1=a,s0=b,i0=c,i1=d,i2=c',i3=c'd'
substitute these values in above formula....
we get
f=a'b'c+ab'd+ab'c'+abc'd'
=a'b'cd+a'b'cd'+a'bcd+a'bc'd+ab'c'd+ab'c'd'+abc'd'
f=(2,3,5,7,8,9,12)

Anonymous said...

b is the correct answer

Anonymous said...

answer:d

peehu jain said...

d

Apurba said...

ANS:D

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